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Finding the Third Proportional to 4,347,882.56 and 9,444,949.31

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Solution

The third proportional to 4,347,882.56 and 9,444,949.31 is: 20,517,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347,882.56 : 9,444,949.31 = 9,444,949.31 : x
  2. Step 2: Convert to fraction form
    4,347,882.56/9,444,949.31 = 9,444,949.31/x
  3. Step 3: Cross multiply
    4,347,882.56x = 9,444,949.31 × 9,444,949.31
  4. Step 4: Simplify right side
    4,347,882.56x = 89,207,067,515,694.22
  5. Step 5: Solve for x
    x = 89,207,067,515,694.22/4,347,882.56
  6. Step 6: Final answer
    x = 20,517,359.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.